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Finding the Fourth Proportional to 2,403.03, 3,604.54 and 1,016

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Solution

The fourth proportional to 2,403.03, 3,604.54 and 1,016 is: 1,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.03 : 3,604.54 = 1,016 : x
  2. Step 2: Convert to fraction form
    2,403.03/3,604.54 = 1,016/x
  3. Step 3: Cross multiply
    2,403.03x = 3,604.54 × 1,016
  4. Step 4: Simplify right side
    2,403.03x = 3,662,212.64
  5. Step 5: Solve for x
    x = 3,662,212.64/2,403.03
  6. Step 6: Final answer
    x = 1,524.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.